samdunn2007 samdunn2007
  • 20-01-2021
  • Mathematics
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For what value of x must ABCD be a parallelogram?

For what value of x must ABCD be a parallelogram class=

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CSMedrano
CSMedrano CSMedrano
  • 20-01-2021

Answer:

x  = 3

Step-by-step explanation:

to be a parallelogram opposite sides have to be equal

so we have

[tex]DC = AB\\\\20x-7 = 16x+5[/tex]

now solve for x

[tex]20x-7+7 = 16x+5+7\\\\20x = 16x + 12\\\\20-16x = 16x+12-16x\\\\4x = 12\\\\x = \frac{12}{4} = 3[/tex]

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